If \(x\) is a positive integer, what is the value of \(x?\)

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If \(x\) is a positive integer, what is the value of \(x?\)

(1) The first nonzero digit in the decimal expansion of \(\dfrac1{x!}\) is in the hundredths place.
(2) The first nonzero digit in the decimal expansion of \(\dfrac1{(x+1)!}\) is in the thousandths place.

Answer: A

Source: GMAT Prep